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Finding the Fourth Proportional to 13,135.50, 19,692.20 and 6,111.95

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Solution

The fourth proportional to 13,135.50, 19,692.20 and 6,111.95 is: 9,162.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,135.50 : 19,692.20 = 6,111.95 : x
  2. Step 2: Convert to fraction form
    13,135.50/19,692.20 = 6,111.95/x
  3. Step 3: Cross multiply
    13,135.50x = 19,692.20 × 6,111.95
  4. Step 4: Simplify right side
    13,135.50x = 120,357,658.61
  5. Step 5: Solve for x
    x = 120,357,658.61/13,135.50
  6. Step 6: Final answer
    x = 9,162.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.